Radiation Heat Transfer Between Plane 2 And Radiation Shield Given Temperature And Emissivity Calculator

Formula Used:

\[ q = A \times [Stefan-BoltZ] \times \frac{(T_3^4 - T_{P2}^4)}{(\frac{1}{\varepsilon_3} + \frac{1}{\varepsilon_2} - 1)} \]

Area (A):

m²

Temperature of Radiation Shield (T₃):

Temperature of Plane 2 (T_P2):

Emissivity of Radiation Shield (ε₃):

Emissivity of Body 2 (ε₂):

Heat Transfer (q):

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1. What is Radiation Heat Transfer Between Plane 2 And Radiation Shield?

Radiation heat transfer between plane 2 and radiation shield refers to the thermal energy exchange via electromagnetic waves between two surfaces separated by a radiation shield. The shield reduces the net heat transfer between the surfaces by reflecting and absorbing radiation.

2. How Does the Calculator Work?

The calculator uses the radiation heat transfer formula:

\[ q = A \times [Stefan-BoltZ] \times \frac{(T_3^4 - T_{P2}^4)}{(\frac{1}{\varepsilon_3} + \frac{1}{\varepsilon_2} - 1)} \]

Where:

\( q \) — Heat transfer rate (W)
\( A \) — Surface area (m²)
\( [Stefan-BoltZ] \) — Stefan-Boltzmann constant (5.670367×10⁻⁸ W/m²K⁴)
\( T_3 \) — Temperature of radiation shield (K)
\( T_{P2} \) — Temperature of plane 2 (K)
\( \varepsilon_3 \) — Emissivity of radiation shield
\( \varepsilon_2 \) — Emissivity of body 2

Explanation: The formula calculates the net radiation heat transfer between two surfaces separated by a radiation shield, accounting for the temperatures and emissivities of all surfaces involved.

3. Importance of Radiation Heat Transfer Calculation

Details: Accurate calculation of radiation heat transfer is crucial for thermal management in various applications including aerospace, building insulation, industrial processes, and electronic cooling systems where radiation shields are used to reduce heat transfer.

4. Using the Calculator

Tips: Enter all values in appropriate units. Area must be positive, temperatures in Kelvin, and emissivities between 0 and 1. Ensure temperatures are absolute values (Kelvin scale).

5. Frequently Asked Questions (FAQ)

Q1: What is the purpose of a radiation shield?
A: Radiation shields are used to reduce heat transfer between surfaces by reflecting and absorbing thermal radiation, thereby improving thermal insulation.

Q2: How does emissivity affect heat transfer?
A: Lower emissivity values result in less radiation heat transfer. Surfaces with low emissivity (shiny, reflective) emit and absorb less radiation than surfaces with high emissivity (matte, dark).

Q3: Why is the temperature raised to the fourth power?
A: The Stefan-Boltzmann law states that the total energy radiated per unit surface area is proportional to the fourth power of the absolute temperature.

Q4: What are typical emissivity values?
A: Emissivity ranges from 0 (perfect reflector) to 1 (perfect blackbody). Typical values: polished aluminum 0.04-0.06, glass 0.92-0.94, human skin 0.97-0.98.

Q5: When is this calculation most applicable?
A: This calculation is most accurate for parallel infinite planes with diffuse gray surfaces and uniform temperatures, where convection and conduction effects are negligible.